continuous variables. Distributions with special properties or for especially important applications are given specific names. A probability distribution is a...
47 KB (6,402 words) - 16:58, 20 June 2024
statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form...
149 KB (22,392 words) - 14:18, 7 July 2024
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which...
41 KB (6,423 words) - 14:22, 3 June 2024
as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution. The beta distribution has been applied to...
243 KB (40,380 words) - 08:10, 19 June 2024
offering insights into the behavior of gamma-distributed random variables. The gamma distribution is integral to modeling a range of phenomena due to its flexible...
60 KB (8,739 words) - 23:14, 6 July 2024
product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given...
36 KB (7,762 words) - 08:27, 20 June 2024
approximation, and is widely used. In general, if the random variable X follows the binomial distribution with parameters n ∈ N {\displaystyle \mathbb {N} } and...
51 KB (7,629 words) - 14:17, 7 July 2024
correlated real-valued random variables, each of which clusters around a mean value. The multivariate normal distribution of a k-dimensional random vector...
64 KB (9,444 words) - 15:36, 3 July 2024
of the distribution, being proportional to the reciprocal of the variable. The reciprocal distribution is an example of an inverse distribution, and the...
3 KB (351 words) - 14:37, 13 October 2023
the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the...
11 KB (1,644 words) - 13:35, 27 June 2024